If R(1) and R(2) are respectively the fi...

If `R_(1)` and `R_(2)` are respectively the filament resistances of a 200 watt bulb and 100 watt bulb designed to operate on the same voltage, then

A

`R_(1)` is two times `R_(2)`

B

`R_2` is two times `R_1`

C

`R_(2)` is four times `R_(1)`

D

`R_(1)` is four times `R_(2)`

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The correct Answer is:

B

Since, `P = V^(2)/R`, as V = constant
`P prop 1/R, therefore P_(1)/P_(2) = R_(2)/R_(1) rArr R_(2)/R_(1) = 200/100`
`rArr R_(2) = 2R_(1)`

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